Since [1]} depends on the law of marginal probability to prove the no-go theorem, but the law of marginal probability does not hold true by the choice of quantum state and measurement operators, there is a logical loophole in the no-go theorem. The violation of the inequality in [1]} in quantum theory does not necessarily imply that measured facts are observer dependent. Instead, the violation just reconfirms that the law of marginal probability does not hold for the choice of quantum state and the measurement operators. The logical gap to equate the statement that “measured facts are observer dependent" to the invalidity of the law of marginal probability in quantum theory is similar to what we discussed in the last paragraph in Section REF .
